The 2000s are well known for the televison programs that were airing throughout the decade, whether they be new series or holdovers from the 90s. If you scroll through the channel menu, you'll find many interesting channels and shows to watch:
Some Helpful Websites:
My2000sTV
Wikipedia (US Television Programs)
Wikipedia (Worldwide Television Programs)
Internet Archive
Channel Pages (coming soon):
Nickelodeon
Nicktoons
Disney Channel
Cartoon Network
4 Kids
Comedy Central
Adult Swim
Fox
Discovery Kids
Playhouse Disney
Nick Jr
PBS Kids Sprout
PBS Kids
Boomerang
"Rejected, rejected, yeah you just got rejected! R-E-J-E-C-T-E-D rejected! R-E-J-E-C-T-E-D rejected! Wooooo!!!!!"
Also, I'd suggest purchasing physical copies of the shows you like if possible or pirating them and downloading/burning them onto a flash drive or blank disc as you never know when/if they'll be removed or censored or anything like that (like the 2003 SpongeBob SquarePants episode "Mid-Life Crustacean" or when you won't have access to the internet (but may have a source to electricity or a battery powered device like a portable DVD player or a computer, whether the disc drive be internal or external).